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Finding the Fourth Proportional to 12.01, 17.94 and 9.71

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Solution

The fourth proportional to 12.01, 17.94 and 9.71 is: 14.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.01 : 17.94 = 9.71 : x
  2. Step 2: Convert to fraction form
    12.01/17.94 = 9.71/x
  3. Step 3: Cross multiply
    12.01x = 17.94 × 9.71
  4. Step 4: Simplify right side
    12.01x = 174.20
  5. Step 5: Solve for x
    x = 174.20/12.01
  6. Step 6: Final answer
    x = 14.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.